Shubhodip Mondal - 14h00 - Unipotent homotopy theory of schemes.

mercredi 8 mars 2023, 14:00 → 15:30 Europe/Paris

Salle Grisvard, IHP, Paris

Building on Toen's work on higher (affine) stacks, I will discuss a notion of homotopy theory for schemes, which we call ``unipotent homotopy theory". Over a field of characteristic p>0 , I will explain how our unipotent homotopy group schemes recover 

 

(1) unipotent completion of the Nori fundamental group scheme, 

(2) p-adic étale homotopy groups, and 

(3) certain formal group laws arising from algebraic varieties constructed by Artin--Mazur. 

 

Joint work with Emanuel Reinecke